@article {70228,
	title = {Energy minimization for skyrmions on planar thin films},
	journal = {arXiv},
	year = {2025},
	month = {2025 Sep 27},
	abstract = {<p>We consider an energy functional that arises in micromagnetic and liquid crystal theory on thin films. In particular, our energy comprises a non-convex term that models anti-symmetric exchange as well as an anisotropy term. We devise an algorithm for energy minimization in the continuous case and show weak convergence of a subsequence towards a solution of the corresponding Euler--Lagrange equation. Furthermore, an algorithm for numerical energy minimization is presented. We show empirically that this numerical algorithm converges to the correct solutions for a benchmark problem without the need for user-supplied parameters, and present a rigorous convergence analysis for important special cases.</p>
},
	doi = {10.48550/arXiv.2509.23495},
	url = {https://doi.org/10.48550/arXiv.2509.23495},
	author = {Giovanni Di Fratta and Michael Innerberger and Dirk Praetorius and Valeriy Slastikov}
}
